When you take out student loans, the max amount you can take is set by your school. They determine the Cost of Attendance which includes tuition and allowances for books, supplies and living/other expenses. The loan is disbursed initially to your school and used to pay any amounts you owe them, and then any balance will be refunded to you.
This means that you won't get the full amount you borrow right away to pay off your card, you'll only get whatever is in excess of what you owe the school. Then you'll have to use the reimbursement from your company to pay off whatever is left. Will that work? Is your company going to pay you directly, or will they look to send a check to the school or lender? How and when you will get the money is important to consider.
It's also important to consider that student loans are only supposed to be used for costs related to your education. Now, are you like to get caught? No, probably not. But student loans are nearly impossible to discharge in bankruptcy, and federal loans have no statute of limitations. They can follow you for the rest of your life, and your tax returns and even social security payments can be seized to pay them. That's not the case for credit card debt.
I would not use a student loan to pay off other debt, especially not such a substantial amount. The best option is to work with your CCs to reduce interest rates and pay them off as quickly as you can. Maybe take advantage of a balance transfer or personal loan from your bank or credit union to simplify your payment. If something catastrophic happened, bankruptcy would still be available to you for that debt and you won't be stuck with a massive student loan.
